Damp
Prevents Self-Destruct, Explosion, and Aftermath from working while the Pokémon is in battle.
Full effect
While this Pokémon is in battle, Self-Destruct and Explosion will fail and Aftermath will not take effect.
In game description
The Pokémon dampens its surroundings, preventing all Pokémon from using explosive moves such as Self-Destruct.
Pokemon with Damp
#0046
Paras
hidden
#0047
Parasect
hidden
#0054
Psyduck
#0055
Golduck
#0060
Poliwag
#0061
Poliwhirl
#0062
Poliwrath
#0116
Horsea
hidden
#0117
Seadra
hidden
#0186
Politoed
#0194
Wooper
#0195
Quagsire
#0230
Kingdra
hidden
#0258
Mudkip
hidden
#0259
Marshtomp
hidden
#0260
Swampert
hidden
#0592
Frillish Male
hidden
#0593
Jellicent Male
hidden
#0938
Tadbulb
hidden
#0939
Bellibolt
hidden
Paras
hidden
#0047
Parasect
hidden
#0054
Psyduck
#0055
Golduck
#0060
Poliwag
#0061
Poliwhirl
#0062
Poliwrath
#0116
Horsea
hidden
#0117
Seadra
hidden
#0186
Politoed
#0194
Wooper
#0195
Quagsire
#0230
Kingdra
hidden
#0258
Mudkip
hidden
#0259
Marshtomp
hidden
#0260
Swampert
hidden
#0592
Frillish Male
hidden
#0593
Jellicent Male
hidden
#0938
Tadbulb
hidden
#0939
Bellibolt
hidden
Using Damp in Cobblemon
Abilities are passive and always active, so Damp costs you nothing to run. If it is marked hidden on a species above, expect it to be harder to obtain: servers differ in whether hidden abilities come from breeding, an Ability Patch, or events.
See the Pokedex for which abilities each species can have, and IVs, EVs and breeding for how to actually pass one down.